Bertrand postulate

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• Bertrand's postulate — (actually a theorem) states that if n > 3 is an integer, then there always exists at least one prime number p with n < p < 2 n − 2. A weaker but more elegant formulation is: for every n > 1 there is always at least one prime p such that n < p < 2 …   Wikipedia

• Proof of Bertrand's postulate — In mathematics, Bertrand s postulate (actually a theorem) states that for each n ≥ 2 there is a prime p such that n < p < 2 n . It was first proven by Pafnuty Chebyshev, and a short but advanced proof was given by Srinivasa Ramanujan. The gist of …   Wikipedia

• Joseph Louis François Bertrand — (March 11, 1822 – April 5, 1900, born and died in Paris) was a French mathematician who worked in the fields of number theory, differential geometry, probability theory, and thermodynamics.Bertrand was a professor at the École Polytechnique and… …   Wikipedia

• Euclidean geometry — A Greek mathematician performing a geometric construction with a compass, from The School of Athens by Raphael. Euclidean geometry is a mathematical system attributed to the Alexandrian Greek mathematician Euclid, which he described in his… …   Wikipedia

• mathematics — /math euh mat iks/, n. 1. (used with a sing. v.) the systematic treatment of magnitude, relationships between figures and forms, and relations between quantities expressed symbolically. 2. (used with a sing. or pl. v.) mathematical procedures,… …   Universalium

• Euclid's Elements — (Greek: polytonic|Στοιχεῖα) is a mathematical and geometric treatise consisting of 13 books written by the Greek mathematician Euclid in Alexandria circa 300 BC. It comprises a collection of definitions, postulates (axioms), propositions… …   Wikipedia

• Religionsphilosophie — Die Religionsphilosophie beschäftigt sich auf philosophische Art und Weise mit der Religion. Sie versucht, systematisch und rational Antwort zu geben auf Fragen nach dem Wahrheitsgehalt religiöser Aussagen, nach dem Wesen der Religion und ihrer… …   Deutsch Wikipedia

• logic, history of — Introduction       the history of the discipline from its origins among the ancient Greeks to the present time. Origins of logic in the West Precursors of ancient logic       There was a medieval tradition according to which the Greek philosopher …   Universalium

• Nombre premier de Ramanujan — En mathématiques, un nombre premier de Ramanujan est un nombre premier qui satisfait un résultat démontré par Srinivasa Ramanujan relatif à la fonction de compte des nombres premiers. Origines et définition En 1919, Ramanujan publia une nouvelle… …   Wikipédia en Français

• relativity — /rel euh tiv i tee/, n. 1. the state or fact of being relative. 2. Physics. a theory, formulated essentially by Albert Einstein, that all motion must be defined relative to a frame of reference and that space and time are relative, rather than… …   Universalium

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